what is the y-intercept of function g if $g(x) = -4f(x) + 12$?\n\na. $(0,8)$\n\nb. $(0,-4)$\n\nc…
what is the y-intercept of function g if $g(x) = -4f(x) + 12$?\n\na. $(0,8)$\n\nb. $(0,-4)$\n\nc. $(0,1)$\n\nd. $(0,12)$
Answer
Explanation:
Step1: Find y-intercept of $f(x)$
From the graph, $f(0) = 1$
Step2: Substitute $f(0)$ into $g(x)$
Substitute $x=0$ into $g(x)=-4f(x)+12$: $g(0) = -4f(0) + 12 = -4(1) + 12$
Step3: Calculate $g(0)$
$g(0) = -4 + 12 = 8$
Answer:
A. $(0, 8)$